What is the gravitational field intensity at a distance of 8.4 x 107 m from the centre of Earth?

Members of the Star Trek exploration committee find themselves on Physitopia, a planet with its own unique gravitational characteristics. The Force-sensitive individuals on the committee, accustomed to manipulating the Force on various planets, are now faced with a new challenge: understanding and adapting to the gravitational force on Physitopia. Physitopia has a mass of 6.46 × 1023 kg and a radius of 3.39 × 106 m, poses an intriguing gravitational scenario. To address the concerns of the Star Trek characters, we must calculate the acceleration due to gravity on Physitopia and determine the weight of a 65 kg individual.

Planet Kling has half the radius and 2 times the mass of the Earth. What is the best estimate for the magnitude of the gravitational field at the surface of Planet Kling?

Scientists want to place a 4 × 103 kg satellite in orbit around Mars. They plan to have the satellite orbit at a speed of 2330 m/s in a perfectly circular orbit. Here is some information that may help solve this problem: mmars = 6.4191 x 1023 kgrmars = 3.397 x 106 mG = 6.67428 x 10-11 N-m2/kg2 1.)Which of the following quantities would change the radius the satellite needs to orbit at? a.)the mass of the satellite b.)the mass of the planet c.)the speed of the satellite   2.)What should the speed of the orbit be, if we want the satellite to take 8 times longer to complete one full revolution of its orbit?

Exoplanet Taphao Keow is a Jupiter-sized planet orbiting another star. It has a mass of approximately 1×10+27[kg]. Its actual radius is not currently known, but we do know that the radius of Jupiter is 7×107[m]. Question: If Taphao Keow had a radius that was the same radius as Jupiter, what would it's local surface gravitational acceleration be? O 266 [m/s2] 124 [m/s²] 70 [m/s²] O 24 [m/s²] O 14 [m/s²] It would have a gravitational acceleration far larger than any of the other answers (many orders of magnitude larger) It would have a gravitational acceleration far smaller than any of the other answers (many orders of magnitude larger)

Two objects attract each other with a gravitational force of magnitude 1.02  10-8 N when separated by 19.8 cm. If the total mass of the two objects is 5.06 kg, what is the mass of each?

A sphere of copper has a radius of 50.0 cm and a mass of 4690 kg.  A sphere of unknown metal has a radius of 30.0 cm.  The surfaces of the spheres are 20.0 cm apart.  The force of gravitational attraction between the two spheres is 0.372 mN.  What is the mass of the unknown metal?

A satellite in geostationary orbit (also called synchronous orbit) appears to remain stationary in the sky as seen from any particular location on the planet.  a.) In the future, there will be need for satellites in synchronous orbit around Mars to aid colonies. At what altitude would such a satellite need to be above the surface of Mars?Assume that the mass of Mars is 6.39 × 10^23 kg, the length of the Martian solar day (i.e., sol) is 24h 39m 35s, the length of the sidereal day is 24h 37m 22s, and the equatorial radius is 3396 km. (Hint: if you haven’t had a physics class before, you can find this by using the fact that the acceleration of an object in circular motion either as v2/r, where v and r are the velocity and radius of the orbit, or as 4Pi 2r/T2 , where T is the period. Use this second equation and Mathematical Insight 4.5 on p. 131 to find r for T=1 day. Make sure to use values for Mars nstead of Earth, as necessary. Alternatively, you can calculate the answer using Newton’s…

A satellite orbiting a planet with a radius of 2.0 x 107m very near the surface of the planet has a period of 4.1 hours.  Determine the gravitational field intensity g on that planet.

Two objects attract each other with a gravitational force of magnitude 9.60 x 109 N when separated by 19.0 cm. If the total mass of the objects is 5.05 kg, what is the mass of each? heavier mass lighter mass kg kg